Ground states for a class of deterministic spin models with glassy behaviour

Journal of Physics A: Mathematical and General

Volumn 29, Issue 8, 1996, Pages 1593-1604

  Borsari, I ^a   Graffi, S ^a   Unguendoli, F ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344451940     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/8/008     Document Type: Article

References (12)

1. Bouchaud J-P and Mézard M 1994 Self-induced quenched disorder: a model for the glass transition J. Physique 4 1109
2. Marinari E, Parisi G and Ritort F 1994 Replica field theory for deterministic models (I): binary sequences with low autocorrelation J. Phys. A: Math. Gen. 27 7615
3. Marinari E, Parisi G and Ritort F 1994 Replica field theory for deterministic models (II): a non-random spin glass with glassy behaviour J. Phys. A: Math. Gen. 27 7647
4. Parisi G and Potters M 1995 Mean field equations for spin models with orthogonal interaction matrices J. Phys. A: Math. Gen. 28 5267
5. Mézard M, Parisi G and Virasoro M 1995 Spin Glass Theory and Beyond (Singapore: World Scientific)
6. Niven I and Zuckerman H S 1972 An Introduction to the Theory of Numbers (New York: Wiley)
7. Narkiewicz W 1995 Classical Problems in Number Theory (Singapore: World Scientific) subsection 2.1
8. Apostol T 1976 Introduction to Analytic Number Theory (Berlin: Springer)
9. Thouless J, Anderson P W and Palmer T 1978 Solution of a solvable model of spin glass J. Phys. A: Math. Gen. 11 7615
10. Degli Esposti M 1993 Quantization of the orientation preserving automorphisms of the torus Ann. Inst. H Poincaré 58 7647
11. Degli Esposti M, Debièvre S and Giachetti R 1995 Quantization of piecewise affine linear maps over the torus Commun. Math. Phys. to appear
12. Degli Esposti M, Graffi S and Isola S 1995 Classical limit for the quantized hyperbolic symplectomorphisms over the torus Commun. Math. Phys. 167 471